GCD of 310, 872, 916, 172 Calculator

Given Input numbers are 310, 872, 916, 172

In the factoring method, we have to find the divisors of all numbers

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (310, 872, 916, 172) = 2.

Given numbers are 310, 872, 916, 172

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 916 are 2 x 2 x 229

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 310, 872, 916, 172 is 2.

Given numbers are 310, 872, 916, 172

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(310, 872) = 135160

GCD(310, 872) = ( 310 x 872 ) / 135160

= 310 / 872

= 310

Step2:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

Step3:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 310, 872, 916, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 382, 119, 350
• GCD of 450, 160, 122, 894
• GCD of 440, 725, 919, 159
• GCD of 303, 675, 700, 660
• GCD of 927, 277, 422, 223

Given numbers are 310, 872, 916, 172
The greatest common divisor of numbers 310, 872, 916, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 872, 916, 172 is 2.

1. What is the GCD of 310, 872, 916, 172?

GCD of given numbers 310, 872, 916, 172 is 2

2. How to calculate the greatest common divisor of 310, 872, 916, 172?

We can find the highest common divisor of 310, 872, 916, 172 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 310, 872, 916, 172 i.e 2.

3. How can I use the GCD of 310, 872, 916, 172Calculator?

Out the numbers 310, 872, 916, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.